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Finding the Fourth Proportional to 8,271.84, 11,414.56 and 5,919.52

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Solution

The fourth proportional to 8,271.84, 11,414.56 and 5,919.52 is: 8,168.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.84 : 11,414.56 = 5,919.52 : x
  2. Step 2: Convert to fraction form
    8,271.84/11,414.56 = 5,919.52/x
  3. Step 3: Cross multiply
    8,271.84x = 11,414.56 × 5,919.52
  4. Step 4: Simplify right side
    8,271.84x = 67,568,716.21
  5. Step 5: Solve for x
    x = 67,568,716.21/8,271.84
  6. Step 6: Final answer
    x = 8,168.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.